extreme f(x)=3x^2-2x+4

解答

极值点

f (x) = 3 x^{2} - 2 x + 4

极小值 (\frac{1}{3}, \frac{11}{3})

求解步骤

f^{'} (x) = 6 x - 2

Find intervals:

递减

: - \infty < x < \frac{1}{3},

递增

: \frac{1}{3} < x < \infty

将

x = \frac{1}{3}

代入

3 x^{2} - 2 x + 4 : \frac{11}{3}

极小值 (\frac{1}{3}, \frac{11}{3})

e x t re m e f (x) = 380 x^{2} - 3800 x^{3}

e x t re m e f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} + 1 [- 2.3]

e x t re m e f (x) = 8 x^{3} - 3 x y + y^{3}

e x t re m e - x^{2} + 5 x - 2

e x t re m e f (x) = 6 x^{2} + 500 x + 8000